Chapter 4 Time, Data, and Graphs

Telling Time
Analog clock- displays time using hands
Digital clock- displays time using numbers
A.M- from midnight to noon
P.M- from noon to midnight

long hand- minutes
short hand- hours
thinner hand- seconds

Analog Clock 60 min= 1 hr
30 min= 1
2 hrs
15 min= 1
4 hrs
ex. Mrs. Shami is using a small clock to demstrate what time it is. The time she uses are:

9:00 (9 o'clock)
9:15 (Quarter after 9, 15 mins after 9)
9:30 (Half past 9,30 mins after 9)
9:45 (Quarter of ten, 15 min 'till 10, 45 mins after 9)

Units of Time

1 minute = 60 seconds
1 hour = 60 minutes
1 day = 24 hours
1 week = 7 days
1 month = about 4 weeks
1 year = 52 weeks
1 year = 12 months
1 year = 365 days
1 leap year = 366 days
1 decade = 10 years
1 century = 100 years
1 millennium = 1,000 years

R 4-2

HW Check....

Elapsed Time-

is the ammount of time that passes between the beginning of an event and the end of the event.

ex. Start 1:00 Ends 2:30 total 1 hour 30 minutes
Start 10:45 Ends 1:05 total 2 hours 20 minutes / 10:45am-12:45pm=2hrs 12:45-1:05=20 minutes
Start 11:50am Ends ..?.. He ran 2 hrs and 22 minutes Ends = 2:12pm

Spiral Review...
HW Check...

Calendars

August
S
M
T
W
T
F
S



1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31

Vacation The Arnolds are leaving for vacation on the first Saturday in August. They will be gone for two weeks. What date will they return home?

Move down one row on a calendar and you have counted on week or seven days. Move down two rows for two weeks. The Arnolds will return home on August 18th. Numbers like first, sixth, and eighteenth are ordinal numbers. Ordinal numbers are used to tell order. August 10th is the second Friday in August.

Example: What date is one week before August?
Find August 24 on the calendar. Count up one row. One week before august 24 is August 17.


tx. pgs 200-201

4. May 25th
5. May 14th
6. May 9th
7. May 18th
8. June 19th (no calendar)
9. 30 days are in June
10. 7 months have 31 days Here is a little poem to remeber how many days each month has:
11. The next meeting date is on the 24th, then
May 8th, and then May 22nd. Thirty days hath September,
April, June, and November.
All the rest have thrity-one
Excepting Febuary alone,
Which hath but twenty-eight, in fine,
Till leap year gives it twenty-nine.



Pictographs

Pieces of infomation collected are called data. A pictograph uses pictures or symbols to show data.
The key tells what quanity each symbol represents.

4 to 8 years
♥ ♥ ♥ ♥
9 to 18 years
♥ ♥ ♥ ♥ ♥ ♥ ♦
19 to 50 years
♥ ♥ ♥ ♥ ♥
Over 50 years
♥ ♥ ♥ ♥ ♥ ♥
Key: ♥= 200 milligrams of calcium
♦= 100 milligrams of calcium

How much calcium a day do 9- to -18 year old need?

Look in th erow next to 9 to18 years. There are 6 complete hearts and half of one.

Spiral Review
HW Check

Line Plots

A line plot displays data along a number line.
Each X represents one number in the data.
In the line plot below, each X represents one zoo.
x
x x ↓ outliner
xx x x x x x
←l--l--l--l--l--l--l--l--l--l--l--l--l--l--l--l--l--l--l--l--l--l--l--l--l--l→
10 15 20 25 30 35
Zoo Budgets in Millions Dollars

Read the line plot. Since there are 2 Xs above the 16, 2 of the zoos have budget of $16 million. The most Xs are above the 15, so the most common budget is $15 million. The greatest budget shown is $33 million and the least budget is shown is $12 million.

An outliner is a number in a data set that is very diffrent from the rest of the numbers.

Identify the outliner in the data set to shown in the line plot. in the line plot, the number 33 is far away from the rest of the data. The budget of $33 million is an outliner.

Pizza Tuna Wrap Turkey Bagel Pb&J Salad Cereal Bag
lllll llll-------------------------------------------------------------------lllll l
lllll
----------------------------x
----------------------------x
----------------------------x
----------------------------x
----------------------------x
15x---------------------- x

←l--l--l--l--l--l--l--l→

P--T--T--B--P--S--C--B

HW check

Bar Graphs

A bar graph uses bars to show data.

Numbers that show the units used on a graph are the scale.

The interval of the scale is 50.

Grarhing Order Pairs


An order pair os a pair of numbers that names a point on a coorade grid. A coorate grid uses poitns to identify obejects on a grid.
(y-Axis)

example:
Point A: (3,7)
Start at zero and move to the right 3 spaces and up 7 spaces

example 2:
Point b (5,2)`

Spiral 4-7 check
P 4-9 check

Line Graphs
A line graph connects points to show how data changes over time.

trend-data continuing to increase or decrease from left to right.

Spiral 4-12 Check
1. B.
2. D.
3. D.
4. Mon.10 Tues.20 Wed.35 Thurs.50
5. How many seats do they need for 1 new plane? 24 so 24 x 3 = 72

Review
Mode - Number that apears the most.
Median - The middle number.
Range - Ther differance between the lowest and highest numbers.

R 4-12 check

1. 7,8,6
2. 11,10,7
3. Jill is wrong, the mode is 2.
x
x x x x x

100 110 120 130 140
4. 120,120,40

Mean (average)
Susie 81,87,93

81
87 Mean:87
+93

261 Devided by 3 = 87

Try it.
3,5,7,4,6,5

3 Mean:5
5 Mode:5
7 Median:5
4 Range:4
6
+5

30 Divided by 6 = 5

4-8-11

Spiral 7-13 check
1. 85
2. 26,714
Orange
Green
Blue
Orange
3. 1 out of 4
4. s s,s c,s d,s l,c s,c c,c d,c l,d s,d c,d d,d l,l s,l c,l d,l l.
5. No there is a remainder 1.
6. 3,600

R 7-12 check
1.24
2.16
3.9
4.7
5.17
6.35
7.50+50
8.65 Degrees Farenhight

PS 7-12 check
1.24
2.4
3.7
4.Any combonation that equils 18.
5.no because if you devide the answer you will get 93R4

Review
1.Does Quinton have a greater average in math or spelling? A: He had a greater average in Spelling.

Math
87
95
82
100

Spelling
93
100
72
85
90
Math

2. There were 21 Herdford and 7 Angus cows.

3. I should buy 7 packages. (8x7=56)
IN NOTEBOOK

Divisibility Rules

A number is DIVISIBLE by another number when it is divided with NO remainder.
ex. 2 If the ones digit is even
84 yes 25 no 2,7,8,6,50 yes
3 ex. * If the sum of it's digits is divisible by 3, then the number is divisible by 3.
ex. 231 2+3+1=6 yes ex. 2, 7, 1, 5, 5, 4, 2, = 26 26/3=8R2 no
5 If the digit in the ones place is 0 or 5 ex. 50 ex. 95 yes ex. 2,5,6,4,3,2,1,7,9,0
9 If the SUM of it's digits is divisible by 9, then the number is divisible by 9
4 If the last 2 digits are divisible by 4.
ex. 412 yes 1, 7 , 47 NO 1, 2,34, 028 YES
Fractions
We can use a fraction to name a part of a whole.
3 numerator- tells us how many equal parts we are talking about
_
4 denominator- tells us the number of equal parts in all
grass
grass
grass
sand
Pizza
Is cut into 8 equal parts 2/8 sausage 3/8 pepperoni
Cheese
Pepperoni
Pepperoni
Pepperoni
Cheese
Cheese
Sausage
Sausage
○ ○ ○ ○○
○○○○○○○
(( (( ((

(( (( ◘◘◘ O O


Fractions in Simplist Form
A fracttion is in simplest form if the numerator and denominator have no common factors. (other than 1)
↨ the same
8 1, 2, 4, 8
12 → 1, 2, 3, 4, 6, 12 GCF= Gratest Common Factor
*4 is he greatest common factor

8 / 4 = 2 Simplest Form for Eight Twelves
12 4 = 3

Review
4 →1,2,4
10→ 1, 2, 5 10

All fractions must be written in simplest form.

Company Fractions
If the denominators are the same, the fraction with the greatest numerator the is the greater fraction.
ex:2 < 4
6 6
If the numerators are the same, and the denominators are different, the fraction with the lesser denominator is the greater fraction.
6